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− | 主要将分岔划分为以下两个类别:
| + | 主要将分岔划分为以下两种类型: |
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− | * Local bifurcations, which can be analysed entirely through changes in the local stability properties of [[Equilibrium point|equilibria]], periodic orbits or other invariant sets as parameters cross through critical thresholds; and
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− | 局部
| + | *局部分岔Local bifurcations是指可被[[平衡点]]的局部稳定性、周期轨道或其他不变集作为参数穿过临界阈值完全分析的分岔; |
− | * Global bifurcations, which often occur when larger invariant sets of the system 'collide' with each other, or with equilibria of the system. They cannot be detected purely by a stability analysis of the equilibria (fixed points). | |
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| + | *全局分岔Global bifurcations是指不能仅通过平衡点(或不动点)的稳定性来分析的分岔,它常在系统的较大不变集之间“碰撞”时,或较大不变集与系统的平衡点“碰撞”时出现。 |
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| ===Local bifurcations=== | | ===Local bifurcations=== |